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Finding the Third Proportional to 84,760 and 131,326

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Solution

The third proportional to 84,760 and 131,326 is: 203,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,760 : 131,326 = 131,326 : x
  2. Step 2: Convert to fraction form
    84,760/131,326 = 131,326/x
  3. Step 3: Cross multiply
    84,760x = 131,326 × 131,326
  4. Step 4: Simplify right side
    84,760x = 17,246,518,276
  5. Step 5: Solve for x
    x = 17,246,518,276/84,760
  6. Step 6: Final answer
    x = 203,474.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.